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Finding the Fourth Proportional to 27,385.44, 37,791.84 and 14,810.40

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Solution

The fourth proportional to 27,385.44, 37,791.84 and 14,810.40 is: 20,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,385.44 : 37,791.84 = 14,810.40 : x
  2. Step 2: Convert to fraction form
    27,385.44/37,791.84 = 14,810.40/x
  3. Step 3: Cross multiply
    27,385.44x = 37,791.84 × 14,810.40
  4. Step 4: Simplify right side
    27,385.44x = 559,712,267.14
  5. Step 5: Solve for x
    x = 559,712,267.14/27,385.44
  6. Step 6: Final answer
    x = 20,438.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.